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The number 58429

58429 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 491. Divisors (8): 1, 7, 17, 119, 491, 3437, 8347, 58429.

Number

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How to work it out

  1. 1

    What is special about 58429: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    58429 is composite. Its prime factorisation is

    58429=7×17×49158429 = 7 \times 17 \times 491
  3. 3

    The divisors add up to 70848; without 58429 itself that is 12419, so 58429 is deficient (12419 is less than 58429). Euler's totient φ(58429) = 47040 numbers up to 58429 share no factor with it.

  4. 4

    The digits of 58429 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.

LaTeX source of the formulas on this page
\[ 58429 = 7 \times 17 \times 491 \]

58429 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors70848
Euler totient φ(n)47040
Square3413948041
Cube199473570087589
Square root241.720913
Digit sum / digital root28 / 1
Collatz steps to 1166
Scientific notation5.8429 × 10410^{4}

58429 in other forms

FormValue
In wordsfifty-eight thousand four hundred and twenty-nine
Binary (base 2)1110010000111101
Octal (base 8)162075
Hexadecimal (base 16)E43D
Base 32222011001
As time58429 seconds = 16 h 13 min 49 s

Is 58429 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (58429 ÷ 7 = 8347)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58429 a prime number?

No. 58429 = 7 × 17 × 491, so it is divisible by 7.

What are the factors of 58429?

1, 7, 17, 119, 491, 3437, 8347, 58429.

What is 58429 in binary?

1110010000111101 (hexadecimal E43D, octal 162075).

What is the square root of 58429?

About 241.7209.

Is 58429 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 58429?

58429 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    58429: is it prime? Factors, square root, binary, Roman numeral | WordGPT